Find the LCM of 548, 548, 713, 655 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 548, 548, 713, 655. So, keep reading to learn more.
Given numbers are 548,548,713,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,548,713,655 is 255924220.
Find LCM of 548,548,713,655 with Prime Factorization
2 | 548, 548, 713, 655 |
2 | 274, 274, 713, 655 |
137 | 137, 137, 713, 655 |
1, 1, 713, 655 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 1 x 1 x 713 x 655 = 255924220
Therefore, the lowest common multiple of 548,548,713,655 is 255924220.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
548 x 548 x 713 x 655 = 140246472560
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
548 : 1, 2, 4, 137, 274, 548
548 : 1, 2, 4, 137, 274, 548
713 : 1, 23, 31, 713
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,548,713,655, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
548:2x 2x 137
713:23x 31
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 137 = 548
Therefore, the value for common factors is 548.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 140246472560/(1x548)
LCM = 140246472560/548
LCM = 255924220
Thus, we can understand that the LCM of 548,548,713,655 is 255924220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 548, 548, 713, 655?
Answer: LCM of 548, 548, 713, 655 is 255924220.
2. How to calculate the LCM of 548, 548, 713, 655?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 548, 548, 713, 655.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.